# supremum In A Sentence

Learn how to use supremum in a sentence and make better sentences with `supremum` by reading supremum sentence examples.

• A theorem of Yakov Sinai in 1959 shows that the supremum is actually obtained on partitions that are generators.
• The Krull dimension of a ring is the supremum of the heights of all maximal ideals, or those of all prime ideals.
• And looking at infimum, it seems you should have used supremum .-- talk ) 17 : 06, 3 January 2009 ( UTC).
• No, ZFC requires augmentation with some second order logic to get the reals because of the supremum axiom.
• *PM : infimum and supremum for real numbers, id = 7638 new .-- WP guess : infimum and supremum for real numbers-- Status:.
• Where the supremum is taken over all finite measurable partitions.
• This set has a supremum but no greatest element.
• The mutual information of QAM can be evaluated in AWGN channel capacity, which is the supremum among all possible choices of symbol statistical distributions.
• Paman presents in his book the concepts of " minimaius " and " maximinus ", a far antecedent of the mathematical concepts of infimum and supremum.
• In this case, the infimum is set intersection, and the supremum is set union.
• Namely the supremum over stages of the cost for x goes to 0 as x increases.
• It follows by an induction argument that every non-empty finite subset of a lattice has a join ( supremum ) and a meet ( infimum ).
• Suppose that textstyle rho _ max is the supremum of the diameters of such balls.
• Here the supremum is taken over all the continuously differentiable functions vanishing on the boundary of " D ".
• Here, " lim sup " denotes limit supremum of the sequence of events, and each event is a set of outcomes.
• If all directed subsets of a poset have a supremum, then the order is a directed complete partial order ( dcpo ).
• From definition of CPO follows that this set has a supremum, we will call it m.
• ATR 0 is impredicative, and has the proof-theoretic ordinal Gamma _ 0, the supremum of that of predicative systems.
• The space " Y " should also be an ordered set, so that the notions of supremum and infimum make sense.
• The supremum of all such functions, along with the monotone convergence theorem, then furnishes the Radon-Nikodym derivative.
• The easiest example of a supremum is the empty one, i . e . the supremum of the empty set.
• The limits infty and- infty are allowed, but they do not represent valid values for the index, only the supremum or infimum of such values, respectively.

Similar words: Supranaturalism, Supernaturalistic, Supportingly, Supremacy, Supplementarily, Superieur, Supercooling, Superstates, Suppurations, Supari, Supportiveness, Superintense, Supercommentary, Supergiant, Superstition, Suppler, Superelevation, Supersmooth, Suppositories, Supporters